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Finding the Fourth Proportional to 27,543.90, 38,019.17 and 16,212.50

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Solution

The fourth proportional to 27,543.90, 38,019.17 and 16,212.50 is: 22,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.90 : 38,019.17 = 16,212.50 : x
  2. Step 2: Convert to fraction form
    27,543.90/38,019.17 = 16,212.50/x
  3. Step 3: Cross multiply
    27,543.90x = 38,019.17 × 16,212.50
  4. Step 4: Simplify right side
    27,543.90x = 616,386,000.49
  5. Step 5: Solve for x
    x = 616,386,000.49/27,543.90
  6. Step 6: Final answer
    x = 22,378.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.